Pith Number

pith:DFEAB5VZ

pith:2009:DFEAB5VZ4ETOEHBRGQXRCROYPT

not attested not anchored not stored refs pending

On the frequency of partial quotients of regular continued fractions

Ai-Hua Fan (LAMFA), Ji-Hua Ma, Lingmin Liao (LAMFA)

arxiv:0906.3283 v1 · 2009-06-17 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFEAB5VZ4ETOEHBRGQXRCROYPT}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:13:19.286901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194800f6b9e126e21c31342f1145d87cd973f51a0d614a5a8aaad48b9d4206a5

Aliases

arxiv: 0906.3283 · arxiv_version: 0906.3283v1 · doi: 10.48550/arxiv.0906.3283 · pith_short_12: DFEAB5VZ4ETO · pith_short_16: DFEAB5VZ4ETOEHBR · pith_short_8: DFEAB5VZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DFEAB5VZ4ETOEHBRGQXRCROYPT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 194800f6b9e126e21c31342f1145d87cd973f51a0d614a5a8aaad48b9d4206a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33497727b5ed8297555b3e4b2c07615b4af831f72a5a571f8c08f8eff6f5969c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-17T19:26:25Z",
    "title_canon_sha256": "a534d99d4bb9b5a27bf1e6f203c70d3737379bf841ec1c80296bc0fd57379a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3283",
    "kind": "arxiv",
    "version": 1
  }
}